Luu Ba Thang ( I left)

Postdoctoral researcher of the Marie-Curie Network SAGA,
Laboratory of Algebraic and Geometric Algorithms,
Department of Informatics and Telecommunications
National and Kapodistrian University of Athens, Greece.
Supervisor: Prof Ioannis Z. Emiris
Begin date of my postdoc: October 2011

My address:

Laboratory of Algebraic and Geometric Algorithms,
Department of Informatics and Telecommunications,
National and Kapodistrian University of Athens,
Panepistimiopolis 15784, Athens, Greece
Email: thanglb@di.uoa.gr
Office: A5
Phone :+30 210 727 5342

Research Interests:
Commutative Algebra, Computational Algebra and Computational Algebraic Geometry.

Professional experience:
2005-2008. Lecturer at Department of Mathematics, Hanoi National University of Education, Vietnam.
Teaching activities
- Algebra I, II (Group, Ring, Field Theory), Linear Algebra 2005.
- Algebra III, IV (Number Theory), 2006.
- Galois Theory, Module Theory over Commutative Ring, 2007.
- Algebra VI (Elementary Algebra), 2008
2002-2005. Assistant Teaching at Department of Mathematics, Hanoi National University of Education, Vietnam.

Education:
2008-2011. PhD in Mathematics, INRIA Sophia Antipolis and University of Nice, France.
PhD Thesis Title: Matrix-based implicit representation of algebraic curves and surfaces and applications.
Supervisor: Prof André Galligo and Associate Prof Laurent Busé.
2007-2008. DELF B1 (Diplome d'etudes en langue francaise). Centre Culturel francais Hanoi (L'ESPACE).
2002-2005. Master in Mathematics, Hanoi National University of Education, Vietnam.
Master Thesis Title: On the sequentially Cohen-Macaulay modules and generalized Cohen-Macaulay modules.
Advisor: Prof. Nguyen Tu Cuong.
1997-2001. Bachelor in Mathematics, Hanoi National University of Education, Vietnam.

Publications:
Preprint

Set generators of rational space curves (In preparation).
(with I. Emiris) Voronoi diagrams of a set of parallel half lines (In preparation)
(with D. V. Nhi) Some identities of a triangle. (Submited)
(with I. Emiris, T. Kalinda, C. Konaxis) Implicitization of curves and surfaces using predicted support. (Submited)

Articles in peer-reviewed international journals

(with I. Emiris, T. Kalinda, C. Konaxis) Sparse implicitization by interpolation: Coping with non-exactness and an application to discriminant computation. (Accepted to Computer Aided Design 2012)
(with L. Busé) The surface/surface intersection problems by means of matrix based representation. (Computer Aided Geometric Design 2012, to appear) click
(with A.Galligo and M. Elkadi) Approximate GCD of several univariate polynomials with small degree pertubations. (Journal of Symbolic computation, 47 (4), 410-421, 2012). click
(with L. Busé) Matrix-based implicit representations of algebraic curves and applications (Computer Aided Geometric Design, 27 (2010) vol. 9, 681--699).click

Articles in peer-reviewed international conferences

(with L. Busé and B. Mourrain) Curve/Surface intersection problem by means of matrix representation (In SNC'09: Proceedings of the International Conference on Symbolic Numeric Computation, Kyoto, Japan.ACM, NewYork, USA, pp. 71-78, 2009). click
The matrix based representation of the intersection curves (Poster ISSAC 2012, To appear in ACM Communication in Computer Algebra, Vol 46, No. 3, Issue 181, 2012).

Articles in peer-reviewed national journals

Asymptotic stability of the set attached primes ideals of module Tor^R_1(R/I^n;A), Journal of Science, N0 4, Hanoi National University of Education,Vietnam,2006.
(with D.V. Nhi) The power formal series and application, Journal of Science, N0 6, Hanoi National University of Education, Vietnam, 2006.
(with D.V. Nhi) Extension of a result of Huneke and Miller, Journal of Science, T. XX, N0 3, Vietnam National University, Hanoi, Vietnam, 2004.

PhD Thesis

Matrix-based implicit representation of algebraic curves and surfaces and applications. July 2011. click

Softwares:

Here are some programs which we make to develop the intersection problem between curve/curve, curve/surface and surface/surface. All programs are based on MAPLE 15. We focus on finding the matrix representation of parameterized curves and parameterized surfaces. And after, we develop some techniques in linear algebra to solve the intersection problems. See my paper [4, 6, 7] for more detail.

1. Maple

Compute mu-basis MUBASIS
Compute matrix representation of curve and surface MATRIXREP
Extract the part regular of a matrix and compute generalized eigenvalues PENCILREDUCTION
Compute the intersection curve/curve, curve/surface INTERSECTION
W -Decomposition, extract the part regular of polynomial matrix and compute the intersection surface/surface WDecomposition

Example

Compute the intersection of two space parameterized curves IntersectionCurve.mw
Compute the intersection of two parameterized surfaces IntersectionSurface
W -Decomposition, extract the part regular of polynomial matrix WDecomposition
Compute the implicit equation of parametrized plane curve. ImplicitCurve

We also make some programs which are based on MATHEMAGIX (http://www.mathemagix.org/www/main/index.en.html) to develop all above problems. All these programs are included in the current distribution of Mathemagix, in the shape module (mmx/shape/mmx/matrixrepresentation).
Note that MATHEMAGIX is a free computer algebra system under development by ours project team.

2. Mathemagix

Compute mu-basis mubase
Extract the part regular of non square matrix and computing generalized eigenvalues Pencilregular
Compute the intersection curve/curve, curve/surface and matrices representationCurveSurface
Compute the singular points of curve SingularPoint
Solve the equation polynomial Solve
Compute Extended Euclidean Algorithm EEA

Help to use

An report for explaining my work in Mathemagix Click

Awards

- Postdoctoral fellowship of Marie-Curie Network SAGA, 10/2011-06/2012.
- Scholarship of INRIA, Sophia Antipolis 1/2009-12/2011.
- Scholarship of Labo J. A. Dieudonné, Université de Nice-Sophia Antipolis 09/2008-12/2008.
- Vietnam Government Fellowship 09/2008-09/2011.
- Scholarship of Hanoi National University of Education, 10/1997-07/2001.
- Second Prize in the Vietnam National Mathematical Olympiad for students 2000.
- Second Prize in the Vietnam National Mathematical Olympiad for students 1999.
- First Prize in the Hai Duong Province Mathematical Olympiad for pupils of high school, 1996.
- First Prize in the Hai Duong Province Mathematical Olympiad for pupils of primary school, 1993.

Talks Presented

- Voronoi diagrams of a set of parallel half lines (Erga-Galaad SAGA Workshop, 9-10 January 2012, Athens, Greece)
- $\mu$-basis of rational algebraic curves and applications (Seminar of ERGA, 21/10/2011, Dept of Informatics and Telecommunications, National and Kapodistrian Univ of Athens).
- The surface/surface intersection problems by means of matrix-based implicit representation. (Fall School Shapes, Geometry and Algebra, September 27-30/2011, Vilnius, Lithuania)
- Singularities of a algebraic curves and rank of matrix representation. (Seminar Lab Algebra, 01/2011, Hanoi National Univ of Education, Hanoi, Vietnam).
- Solving the curve/curve and curve/surface intersection problems with Mathemagix (SAGA Fall School, 4-8/10/2010, Kolympari, Crete, Greece).
- Solving the curve/curve and curve/surface intersection problems with Mathemagix (Seminar Galaad, 21/09/2010, INRIA, France).
- Matrix-based Implicit Representations of Rational Algebraic Curves and Applications. (SAGA Workshop, March 2010, Auron, France).
- Singularities of a rational space curves and matrix representation (Seminar Galaad, 10/03/2010,INRIA, France).
- Matrix representation of rational space curves and the problem intersections (Seminar Galaad, 05/02/2010,INRIA, France).
- Curve/Surface intersection problem by means of matrix representation.(SNC'09, August 2009, Kyoto, Japan).
- Extension of a result of Huneke and Miller. Conference in Algebra - Geometry - Topology, Ho Chi Minh, Vietnam 2005.
- Several talks at Seminar Algebra, Hanoi National University of Education, 2003-2007.

International Conference and Summer School Participation

- Erga-Galaad SAGA Workshop, 9-10 January 2012, Athens, Greece. (Co-organizer with Prof I. Emiris).
- Fall School Shapes, Geometry and Algebra, Vilnius, Lithuania, September 27-30/2011.
- SAGA Fall School, Kolympari, Crete, Greece, October 4-8, 2010.
- The Fifth RISC/SCIENCE Training School in Symbolic Computation, Johannes Kepler University of Linz,Hagenberg, Austria, June 28-July 9, 2010.
- SAGA Workshop, Auron, France, March 2010.
- International Conference on Symbolic-Numeric Computation, Kyoto, Japan, 2009.
- Summer School on Computational Mathematics, Soria, Spain, 2009.
- International Conference on Tensors and Interpolation, Nice, France, 2009.
- International Conference on Number Theory and Related Topics, Hanoi, Vietnam, 2006.
- International Conference on Commutative Algebra, Hanoi, Vietnam, 2006.
- CIMPA School on Commutative Algebra, Hanoi, Vietnam, 2005.
- Conference on Algebra - Geometry - Topology, Ho Chi Minh city, Vietnam, 2005.
- Summer School on Informatics in Algebra Combinatorics and Geometry, Hanoi, Vietnam, 2004.
- Summer School and Conference on Algebraic K- Theory and its applications, ICTP, Trieste, Italy, 2002.

About myself

My permanent address in Vietnam:

Department of Mathematics
Hanoi National University of Education
136 Xuan Thuy Road, Cau Giay, Hanoi, Vietnam
Email: thanglb@hnue.edu.vn or bathangluu@yahoo.co.uk